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A generalization of Kung's theorem
May 21, 2015 Β· Declared Dead Β· π Des. Codes Cryptogr.
"No code URL or promise found in abstract"
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Authors
Trygve Johnsen, Keisuke Shiromoto, Hugues Verdure
arXiv ID
1505.05628
Category
cs.IT: Information Theory
Cross-listed
cs.DM
Citations
4
Venue
Des. Codes Cryptogr.
Last Checked
4 months ago
Abstract
We give a generalization of Kung's theorem on critical exponents of linear codes over a finite field, in terms of sums of extended weight polynomials of linear codes. For all i=k+1,...,n, we give an upper bound on the smallest integer m such that there exist m codewords whose union of supports has cardinality at least i.
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